singular arc

singular arc

[′siŋ·gyə·lər ′ärk]
(control systems)
In an optimal control problem, that portion of the optimal trajectory in which the Hamiltonian is not an explicit function of the control inputs, requiring higher-order necessary conditions to be applied in the process of solution.
References in periodicals archive ?
For problem (1), there exists a locally minimizing singular arc S defined in (p, x)-space by:
u]) of the singular arc for t < 0 until the value x = [square root of b/d] is reached and let [S.
Sebag, The Drinfeld-Grinberg-Kazhdan theorem is false for singular arcs, To appear in Journal of IMJ (DOI: http://dx.